542. To check stability, a weight of 10 tons is lifted with the jumbo boom whose head is 45 ft. from the ship's centerline. The clinometer show's a list of 5.0° with weight suspended. Displacement including the weight is 9,000 tons. What would be the GM in this condition?

The metacentric height (GM) is calculated using the formula GM = (w x l) / (Δ x tan θ), where w is the weight, l is the boom reach, Δ is the displacement, and θ is the heel angle. Substituting the given values (w = 10 tons, l = 45 ft, Δ = 9000 tons, θ = 5) into the formula yields GM ≈ 0.57 foot.